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Autori principali: Adachi, Shinji, Shibata, Masataka, Watanabe, Tatsuya
Natura: Preprint
Pubblicazione: 2016
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Accesso online:https://arxiv.org/abs/1602.07086
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author Adachi, Shinji
Shibata, Masataka
Watanabe, Tatsuya
author_facet Adachi, Shinji
Shibata, Masataka
Watanabe, Tatsuya
contents In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE analysis, we extend previous results to cases where nonlinear terms may have sublinear growth. As an application, we obtain the uniqueness and the non-degeneracy of ground states for modified Schrödinger equations.
format Preprint
id arxiv_https___arxiv_org_abs_1602_07086
institution arXiv
publishDate 2016
record_format arxiv
spellingShingle A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application
Adachi, Shinji
Shibata, Masataka
Watanabe, Tatsuya
Analysis of PDEs
35J61, 35A02, 35B05
In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE analysis, we extend previous results to cases where nonlinear terms may have sublinear growth. As an application, we obtain the uniqueness and the non-degeneracy of ground states for modified Schrödinger equations.
title A note on the uniqueness and the non-degeneracy of positive radial solutions for semilinear elliptic problems and its application
topic Analysis of PDEs
35J61, 35A02, 35B05
url https://arxiv.org/abs/1602.07086